This article is cited in 49 papers

Proceedings of GDIS 2008, Belgrade

Bifurcations of Liouville tori in elliptical billiards

V. Dragović^ab, M. Radnović<sup>a

a</sup> Mathematical Institute SANU, Kneza Mihaila 36, Belgrade, Serbia
^b Mathematical Physics Group, University of Lisbon, Portugal

Abstract: A detailed description of topology of integrable billiard systems is given. For elliptical billiards and geodesic billiards on ellipsoid, the corresponding Fomenko graphs are constructed.

Keywords: elliptical billiard, Liouville foliation, isoenergy manifold, Liouville equivalence, Fomenko graph.

MSC: 37J35, 70H06, 37C15

Received: 07.02.2008
Accepted: 21.03.2008

Language: English

DOI: 10.1134/S1560354709040054

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